Finding the Third Proportional to 78,993 and 171,108

Step by Step Solution

1. Step 1: Write the proportion equation
   78,993 : 171,108 = 171,108 : x
2. Step 2: Convert to fraction form
   78,993/171,108 = 171,108/x
3. Step 3: Cross multiply
   78,993x = 171,108 × 171,108
4. Step 4: Simplify right side
   78,993x = 29,277,947,664
5. Step 5: Solve for x
   x = 29,277,947,664/78,993
6. Step 6: Final answer
   x = 370,639.77